Hi there!
Everything looks correct except for the step to get to -6x < 36. Here you put multiplication property of order, and to get here you have to add 30 to both sides, so it would actually be the addition property of order.
I hope I helped!
Answer:
Step-by-step explanation:
It's D.
A theorem is true by some sort of mathematical logic.
It is not a definition. Not C
It is not in the end true because of inductive reasoning (a theorem may lend itself to inductive reasoning, but it must be proved.) Not A
It certainly not assumed to be true without proof. Not B
Answer:
56
Step-by-step explanation:
clearly, the sequence is built by adding 5 for every new term.
so, an = an-1 + 5
a1 = 25 (the starting value)
a2 = a1 + 5 = 25 + 5 = 30
a3 = a2 + 5 = a1 + 5 + 5 = a1 + 2×5 = 25 + 10 = 35
...
an = an-1 + 5 = a1 + (n-1)×5
now, we know, the last term is 300.
when we determine for which n we get an = 300, we know that n is the number of terms in the sequence.
so,
300 = a1 + (n-1)×5 = 25 + 5n - 5 = 20 + 5n
280 = 5n
n = 56
a56 = 300
so, we have 56 terms in this sequence
Answer:
$32
Step-by-step explanation:
You will pay $32 for a item with original price of $40 when discounted 20%. In this example, if you buy an item at $40 with 20% discount, you will pay 40 - 8 = 32 dollars.
Have an amazing day friend! :D